Answer:
The angular velocity of the first object is twice times the angular velocity of the second object.
Explanation:
The expression for the rotational kinetic energy for first object is as follows;
........ (1)
Here, I is the moment of inertia, K is the rotational kinetic energy and is the angular velocity.
The rotational kinetic energy for second object is as follows;
According to given condition, two objects have the same rotational kinetic energy. Object one has twice the moment of inertia than the second.
Suppose, I'=2I.
......... (2)
From (1) and (2),
Therefore, the angular velocity of the first object is twice the angular velocity of the second object.
In working toward the complete solution of this problem,
I'm going to use addition, subtraction, multiplication, and
division. Also, I think I'll be using Newtons 2nd law of motion
like at least fifteen times, so I'll write it here for our review:
<span> Force = (mass) x (acceleration).</span>
-- When 36 N of force acts on m₁ it accelerates at 6 m/s² .
36 N = (m₁) x (6 m/s²)
Divide each side by 6 m/s² : m₁ = (36 N) / (6 m/s²) = 6 kg .
-- The same force acting on (m₁+m₂) accelerates them at 2 m/s² .
36 N = (6kg + m₂) x (2 m/s²)
Divide each side by 2 m/s² : 6kg + m₂ = (36N) / (2m/s²) = 18 kg
Subtract 6kg from each side: m₂ = 12 kg .
-- The same net force acts on m₂ alone:
36 N = (12 kg) x (acceleration)
Divide each side by 12 kg : Acceleration = (36 N) / (12 kg) = <span>3 m/s² </span>.
Hope this helps alot
Answer:
The helicopter uses 35 gallons to fly for 5 hours.
Explanation:
The amount of gas that a helicopter uses for flying varies directly proportional to the number of hours spent flying.
g ∝ T
where g represents amount of gas and T time of flight.
Then,
The helicopter files 4 hours and uses 28 gallons of fuel.
Here, g₁= 28 gallons, T₁=4 hours
g₂=?, T₂=5 hours.
⇒28×5= g₂×4
⇒ g₂×4=28×5
gallons
The helicopter uses 35 gallons to fly for 5 hours.
Answer:
The minimum acceleration will be
Explanation:
We have given that coefficient of static friction
Frictional force is given by
Weight is given by
For train to allow the bat to remain in place
So the minimum acceleration will be
1. A delicious cup of hot soup
2. My very talented mother
3. The baby in the perambulator
4. The rotten eggs
5. That clumsy little girl
6. The thief with the beard